Lesson_24 - Lesson 24 Lesson 24 Challenge 23 Lesson 24 IIR...

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Unformatted text preview: Lesson 24 Lesson 24 Challenge 23 Lesson 24 IIR Systems Challenge 24 Practice Quiz #2 on-line Quiz #2 review Monday, March 19, 2008 Spring break from something Lesson 24 Challenge 23 Given What is x[k]? ) 5 . ( ) 1 ( 3 5 3 ) ( 2 2 3-- +- = z z z z z z X Lesson 24 Challenge 23 Heaviside (partial fraction) expansion ( repeated roots!!!!!) Z-1 ( 29 ( 29 ( 29 2 2 , 2 1 , 2 1 1 1 5 . ) (- +- +- + = z z z z z z z X ( 29 ( 29 ] [ 5 . ] [ ] [ 2 , 2 1 , 2 1 k u k k k x k + + + = Lesson 24 Challenge 23 Modified Heaviside method ( 29 ( 29 ( 29 2 2 , 2 1 , 2 1 1 1 1 1 5 . 1 1 ) ( ) ( '- +- +- + = = z z z z z z X z X ( 29 ( 29 ( 29 , 2 ) 5 . ( 5 . 2 3 + 5- 3 ) 5 . ( 3 + 10- 9 lim ) ( ) 1- ( lim , 2 = ) 5 . ( 3 + 5- 3 lim ) ( ) 1- ( lim , 5 = ) 1 ( 3 + 5- 3 lim ) ( ) 5 .- ( lim , ) ( lim 2 2 3 2 1 2 1 1 , 2 2 3 1 2 1 2 , 2 2 3 5 . 5 . 1- = ---- = = - = = - = = = = z z z z z z z z z z z z X z dz d z z z z z z z X z z z z z z z z X z z z zX z z z z z z z Lesson 24 Challenge 23 x [ k ] = (5(0 . 5) k 2+2 k ) u [ k ] . Check: Check: 3 = ) ( lim ] [ z X z x = b = 3 -5 3 0 a=[1, -2.5, 2. -0.5, 0] a = 1.0000 -2.5000 2.0000 -0.5000 0 residue(b,a) ans = -2.0000 2.0000 5.0000 0 Lesson 24 Lesson 24 Convolution Theorem =- = ] [...
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This note was uploaded on 08/21/2010 for the course EEL 3135 taught by Professor ? during the Spring '08 term at University of Florida.

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Lesson_24 - Lesson 24 Lesson 24 Challenge 23 Lesson 24 IIR...

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